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If the sum of two unit vectors is a unit...

If the sum of two unit vectors is a unit vector, then magnitude of difference is-

A

`sqrt(2)`

B

`sqr(3)`

C

`1//sqrt(2)`

D

`sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
B

(b) Sum of two unit vectors is a unit vector means angle between those two unit vectors is `120^(@)`
`therefore |S|=sqrt(1+1-2xx1xx1xxcos120^(@))=sqrt(3)`
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